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Finding the Fourth Proportional to 36,098.75, 49,814.82 and 19,965

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Solution

The fourth proportional to 36,098.75, 49,814.82 and 19,965 is: 27,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.75 : 49,814.82 = 19,965 : x
  2. Step 2: Convert to fraction form
    36,098.75/49,814.82 = 19,965/x
  3. Step 3: Cross multiply
    36,098.75x = 49,814.82 × 19,965
  4. Step 4: Simplify right side
    36,098.75x = 994,552,881.30
  5. Step 5: Solve for x
    x = 994,552,881.30/36,098.75
  6. Step 6: Final answer
    x = 27,550.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.